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posogravitasi rata2
1/2" (15mm)Aluminium 0 3/4" (20mm)
Draw Brass/ copper 4 1" ( 25 mm)PVC,Plastic 5 1 1/4" ( 32mm )Fiber Glass 10 1 1/2"( 40 mm)
Stainless steel 15 2" ( 50 mm)Steel Comersial pipe 20 2 1/2" ( 65 mm )Weld steel/ Cast iron 25 3" ( 80 mm)
Galvanized steel 30 3 1/2" ( 90 mm)New cast iron 35 4" ( 100 mm)
Galvanized iron 40 5" ( 125 mm )6" ( 150 mm)8" ( 200 mm)10" (250 mm)
0 12" ( 300 mm)1 ELBOW 90 SR 14" ( 350 mm)2 ELBOW 90 LR 16" ( 400 mm )3 ELBOW 45 18" ( 450 mm)4 ELBOW 90 MITRE 20" ( 500 mm )5 ELBOW 45 MITRE 24" ( 600 mm )6 GATE VALVE 26" ( 650 mm )7 GLOBE VALVE 28" ( 700 mm )8 GLOBE VALVE ANGLED 30" ( 750 mm )9 PLUG VALVE SSTRAIGHTWAY
10 BUTTERFLAY VALVE11 BALL VALVE FULL BORE12 BALL VALVE REDUCE BORE13 LIFT CEK VALVE14 LIFT CEK VALVE ANGLED15 SWING CEK VALVE16 WAFER CEK VALVE17 FOOD VALVE WITH STRAINER18 HIGED FOOT VALVE WITH STRAINER19 STRAINER 20 TROUGHT TEE21 BRANCEH TEE22 PIPE EXIT CONTAINER23 OPEN PIPE EXIT24 PIPE ENTRY PROJECTING
DESIGN & CALCULATION Drawing No LH21-XXX-XX
COOLING WATER SUPPLY SYSTEM Job No. X1
Date: 22-Nov-13
PROJECT Prepared: ANS Sign :
ENGINEERING DEPARTEMENT POSO 1 ( 4X 35 MW) Checked : AQQ Sign :
A DESIGN REQUIREMENT
No. System Water Consumption
a Thrust Bearing Cooler 75 0.0208b Upper Guide Bearing Cooler 35 0.0097c Air Cooler 415 0.1153d Lower Guide Bearing Cooler 40 0.0111e Turbine Guide Bearing Cooler 9 0.0025f Shaft Seal Lubricating Cooler 4.8 0.0013
Total of Water Consumption 1 Unit 578.8 0.1608
- Total of unit = 4 Unit
- Total Water Consumption = 0.643B GENERAL DATA
1 Fluid properties- Fluid = Water
- Temperature of fluid = 25 °C2 Pipe properties
- Material = Cast Iron, seamless pipe (A106 Gr.B)- Nominal roughness (ε) = 0.000045 m = 0.045 mm
3 Local Gravity (g) = 9.779
C CALCULATION OF PIPING SUPPLY FROM HEAD TANK
1 Head tank (design)
- Capacity = 0.643111111111 2315.2- Lasting time (t) = 0.45 Hours = 1620 s
- Volume of head tank (estimation) = 1041.84
- Voluem of head tank (applied) ≈ 1355 ( minimum required )- Elevation of water level in head tank to cooling water inlet (estimation)
Based on minimum pressure → 2 bar = 22.2 m H2OBased on maximum pressure → 4 bar = 44.4 m H2O
- So, Elevation of water level in head tank to cooling water inlet = 44.4 m H2O
2 Dimension of cooling supply pipe
- Total of water consumption = 0.643- Velocity of flow (V') = 2.4 m/s
- Cross-Sect. Area (A') = 0.2680
- Diameter of pipe supply (D') = 0.58 m
- Applied nominal diameter = 0.57 m = 574.60 mm= 24" ( 600 mm )
- Applied Velocity of flow discharge = 2.48 m/s
3 Thickness of Pipe- Material of Pipe = Cast Iron, seamless pipe (A106 Gr.B)
- Pressure Design Minimum Thickness = 3.76 mm 0.07032460.5
- Internal design pressure (static head) = 400000 Pa = 400 kPa- Internal design pressure (water hammer condition) (P) = 600 kPa
- Outside diameter of the pipe, in (mm) = 610 mm- Maximum allowable stress in material (SE) = 35 ksi = 241292.62325 kPa- Additional thickness (A) = 3 mm
(m3/h) (m3/s)
(m3/s)
(Tfluid)
m/s2
(Qtank) m3/s m³/h
m3
m3
(Qtotal) m3/s
m2
(Dapplied)
(Vapplied)
(tpipe)
(Ps)
(Do)
- Coefficient (y) = 0.4
- So, Schedule of pipe supply = StandardThickness of pipe = 10 mm
4 Friction loss - Kinematic Velocity
= 8.9181E-07- Reynolds number (Re) = 1597924.31
- Regime of Flow = Turbulen
- Relative rougness = 7.83153498E-05- Friction Factor
From the swamee-jain = 0.012671020093
From Colebrook-white iteration
= 0.012599533563
= 0.012602297807
= 0.012602190523
= 0.012602194686
So, Friction factor = 0.012602194686
- Length of pipe (Inlet head tank - header pipe of cooling inlet) = 700 m
- Friction Loss in Discharge Pipe = 4.83 m
5 Fitting & Valve LossesNo Fitting type Quantity Total K factor
1 Pipe Entrance (Re-Entrant) 1 0.82 GATE VALVE 2 0.483 TROUGHT TEE 1 0.584 SWING CEK VALVE 1 2.35 ELBOW 90 LR 3 1.386 STRAINER 1 0.67 - 0 08 - 0 0
Total 6.14
Head loss for valve and fitting = 1.93 m
6 Total head (Htotal) = 38 m
7 Pressure to nearest cooling inlet = 3.7 bar 0.00
D CALCULATION OF PIPING SUPPLY FROM PUMP
1 Elevation of pump installation- Elevation of pump installation = EL. 452.120 m. above msl- Outlet of pump = EL. 465.120 m. above msl- Maximum water level (based on tailrace water level) = EL. 458.000 m. above msl- Minimum water level = EL. 449.450 m. above msl
2 Static Head(Hs) = 15.67 m. above msl
3 Capacity of water pump (for 1 unit turbine) = 0.1614 Dimension of pipe
- Velocity of flow discharge = 2 m/s
- Cross-Sect. Area = 0.080
- Diameter of pipe = 0.32 m
- Applied nominal diameter = 0.30 m = 303.20 mm= 12" ( 300 mm)
- Applied Velocity of flow = 2.23 m/s
(ν) m2/s
(ε/Dapplied)
(f0)
(f1)
(f2)
(f3)
(f4)
(f)
(Lsupply)
(Hf)
(Hm)
(Pmin)
(Qpump) m3/s
(V'pump)
(A'pump) m2
(D'pump)
(Dpump applied)
(Vpump applied)
5 Friction Loss in Discharge Pipe- Kinematic Velocity
(ν) = 8.9181E-07- Reynolds number (Re) = 757064.08
- Regime of Flow = Turbulen
- Relative rougness = 0.000148416887- Friction Factor =
From the swamee-jain = 0.014458611123
From Colebrook-white iteration = 0.014380396011
= 0.014383708996
= 0.01438356817
= 0.014383574156So, friction factor = 0.014383574156
- Friction Loss For suction of pump
Length of suction pipe = 6.87 m
Friction oss = 0.05 mFor sdischarge of pump
Length of discharge pipe = 33.213 m
Friction loss (to header pipe) = 0.08 m- Total friction loss = 0.13 m
6 Head losses valve and fitting- Head losses valve and fitting (for suction pipe)
No Fitting type Quantity Total K factor 1 GATE VALVE 2 0.482 ELBOW 90 LR 2 0.923 BRANCEH TEE 2 1.484 SWING CEK VALVE 1 2.35 REDUCER 1 0.1
Total 5.28Head losses valve and fitting for suction pipe (m) 1.34
- Head losses valve and fitting for discharge pipe)No Fitting type Quantity Total K factor 1 GATE VALVE 2 0.482 SWING CEK VALVE 1 2.33 ELBOW 90 SR 4 3.484 TROUGHT TEE 2 1.165 REDUCER 1 0.16 - 0 0
Total 7.52Head losses valve and fitting for discharge pipe (m) 1.91
- Total (Head losses valve and fitting) = 3.25 m- Total Head Losses = 3.38 m
7 Net Positive Suction Head, Available (NPSHA)
- Elevation of pump installation = 2.670 m- (Hp) = 9.80 m
- Static elevation of the liquid above the centerline of the pump (Hz)
at maximum water level = -5.880 m
at minimum water level = 2.670 m- Friction and entrance head losses in the suction piping (Hf) = 1.34 m- Absolute vapor pressure of fluid at the pumping temperature (Hvp) = 0.32- NPSHA : at maximum water level = 14.01 m
at minimum water level = 5.46 m- So, = 5.46 m
8 Total head (Htotal) = 18.92 m9 Power of pump
m2/s
(ε/Dapplied)
(f0)
(f1)
(f2)
(f3)
(f4)(f)
(Lsuction)
(fsuction)
(Ldischarge)
(fdischarge)
(zpump)
Absolute pressure on the surface of the liquid where thepump takes suction
(Hzmax)
(Hzmin)
NPSHR should be smallest from NPSHA at minimum water level
- Density of water = 997.08- Power of pump = 29.65 kW
10 Power of pump (applied)
- Efficiency of pump = 76 %
- Power of pump (applied) = 39 kW40 kW
(ρwater) kg/m3
(P)
(ηpump)
(Papplied)
DESIGN & CALCULATION Drawing No. LH21-XXX-XX
COOLING WATER DISTRIBUTION SYSTEM Job No. X1
Date: 22-Nov-13
PROJECT Prepared: ANS Sign :
ENGINEERING DEPARTEMENT POSO 1 ( 4X 45 MW Checked: AQQ Sign :
A1 Data1 Cooling Water Required
No System Water cuonsumption
1 Generator Trush Bearing 0.0208
2 Generator Upper Guide Bearing 0.0097
3 Generator Air Cooler 0.1153
4 Generator Lower Guida Bearing 0.0111
5 Turbin Guide Bearing 0.0025
6 Turbin Main Shaft 0.0013
2 Fluid properties
- Fluid = Water - Temperature of fluid = 25 °C
3 Pipe properties- Material (ε) = Weld Steel
- Nominal roughness = 0.000045 m 0.045 mm- Head ( h ) = 44.4444444444 m
- Nominal Roughness Material- Weld steel/ Cast iron = 0.045 mm
- Data Density Of Water = 995.7 Kg/m³
4 Local Gravity (g) = 9.779
A2 Calculation1 Static Head (Hs) = 44.44 m
2 Total Water Consumption
- (for 1 unit turbine) = 0.16077777778
- (for 2 unit turbine) = 0.32155555556
- (for 3 unit turbine) = 0.48233333333
- (for 4 unit turbine) = 0.64311111111
3 VMax ( Free Flow) = 26.5353347348
4 Dimension of Header pipe discharge JIS SCH 40
- Design Discharge ( Q ) = 0.643111111111- Velocity of flow discharge (V') = 2 m/s
- Cross-Sect. Area (A') = 0.321555555556
- Diameter of pipe discharge (D') = 0.640 m 639.8572099794 mm
- Applied nominal diameter = 0.57 m 574.60 mm- Required Area = 0.25931111028 m2 24" ( 600 mm )
- Applied Velocity of flow discharge = 2.48007542142 m/s
m/s2
m/s2
m/s2
m/s2
m/s2
m/s2
(Tfluid)
(Ld)
m/s2
(Q1) m3
(Q1) m3
(Q1) m3
(Q1) m3
m/s
m3/s
m2
(Dapplied)
(Vapplied)
A = Q/VD=√((4.Q)/(π.V))
V= Q/A
V max 〖 :0.9√2.g.h〗
5 'Applied Debit and Velocity in Main Header
- Header A
Volume Flow rate (QA) = 0.64311111111 m3/sCross sect Area ( AA) = 0.25931111028 m2Velocity of flow discharge (VA ) = 2.48007542142 m/s
- Header to unit 2
Volume Flow rate (Q2) = 0.1608Cross sect Area ( A2) = 0.0722 m2 303.2 12" ( 300 mm)Velocity of flow discharge (V2 ) = 2.2268 m/s 574.6 24" ( 600 mm )Volume ( Qc ) = 0.1608Cross sect Area ( Ac) = 0.2593 m2Velocity of flow discharge (Vc ) = 0.6200 m/s
- Header to unit 1
Volume Flow rate (Q1) = 0.1608Cross sect Area ( A1) = 0.0722 m2 303.2 12" ( 300 mm)Velocity of flow discharge (V1 ) = 2.2268 m/s 477.8 20" ( 500 mm )Volume ( Qb ) = 0.3216Cross sect Area ( Ab) = 0.1793 m2Velocity of flow discharge (Vb ) = 1.7934 m/s
Header Unit 3
Volume Flow rate (Q3) = 0.1608Cross sect Area ( A3) = 0.0722 m2 303.2 12" ( 300 mm)Velocity of flow discharge (V3 ) = 2.2268 m/s 574.6 24" ( 600 mm )Volume ( Qd) = 0.1608Cross sect Area ( Ad) = 0.2593 m2Velocity of flow discharge (Vd ) = 0.6200 m/s
- Header to unit 4
Volume Flow rate (Q1) = 0.1608Cross sect Area ( A1) = 0.0722 m2 303.2 12" ( 300 mm)Velocity of flow discharge (V1 ) = 2.2268 m/s 477.8 20" ( 500 mm )Volume ( Qb ) = 0.2330Cross sect Area ( Ab) = 0.1793 m2Velocity of flow discharge (Vb ) = 1.2994 m/s
m3/s
m3/s
m3/s
m3/s
m3/s
m3/s
m3/s
m3/s
6 Friction Losses Main header
- Length Pipe Cooling supplay to Trush bearing =- Kinematic Velocity (ν) =
- Reynolds number (Re) =
- Regime of Flow =
- Relative rougness =- Friction Factor
From the swamee-jain =
From Colebrook-white iteration
=
=
=
=So, friction factor =
- Friction Loss in Discharge Pipe (Hfd) =
Brancing pipe 600 to 300Firction Losses Main Pipe DN 600
No calculation Unit1 Length 10 m
2 velocity 8.9181E-073 Re 399481.08 Turbulen4 (ε/Dapplied) 7.83153498086E-055 0.01462438441886 0.014614699074917 0.012531644707228 0.014786453607519 0.01460269858696
10 (f) 0.0146026985869611 (Hfd) 0.0050 m
No calculation Unit1 Length 10 m 2 velocity 8.9181E-073 Re 960828.08 Turbulen4 (ε/Dapplied) 9.4181665969E-055 0.013467265872396 0.013401663663357 0.012572445367098 0.013445651150219 0.01340267979723
10 (f) 0.0134026797972311 (Hfd) 0.05 m
Firction Losses Main Pipe DN 300No Calculation Unit1 Length 12 m 2 velocity 8.9181E-073 Re 757064.08 Turbulen4 (ε/Dapplied) 0.000148416886545 0.014458611123496 0.014380396010547 0.014383708996288 0.012539050249019 0.01446956526076
10 (f) 0.0144695652607611 (Hfd) 0.145 m
Fric Loses 0.019 bar
(ε/Dapplied)
(f0)
(f1)
(f2)
(f3)
(f4)(f)
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
v=(83.9192T^2+20705.5T+55173)^(-1)Re=(V_applied∗D_applied)/v
f^′=0.25[log((ε∕D_applied )/3.7+5.74/〖 Re〗^0.9 )]" " ^(-2)
1/√f=-2log((ε∕D_applied )/3.7+2.51/(Re√f))
7 Head losses valve and fittingPIPE 600 & 500
No Fitting type Quantity K factor Head Losses ( m)1 BALL VALVE FULL BORE 1 0.1 0.001965455221304192 TROUGHT TEE 4 2.32 0.1823942445370283 REDUCER 2 0.2 0.007861820885216744 - 0 0 05 - 0 0 06 - 0 0 07 - 0 0 0
Total 0.192221520643549
PIPE 300No Fitting type Quantity K factor Head Losses ( m)1 GATE VALVE 4 0.96 0.9735092377471682 ELBOW 90 LR 5 2.3 2.915457352628243 - 0 0 04 - 0 0 05 - 0 0 06 - 0 0 0
Total 3.88896659037541
Head losses valve and fitting ( Trush Bearing ) 0.40 barTotal Head losses ( Trush Bearing ) ( Htot ) 0.42 bar
(Hminor)
8 Applied Debit and Velocity in 1 Turbin-Generator
- Area1 (Trush bearing )Volume Flow rate (Q1 = 0.02Cross sect Area ( A1) = 0.00821941955 m2 102.3 4" ( 100 mm)Velocity of flow discharge (V1 ) = 2.53 m/s 303.2 12" ( 300 mm)Volume ( Qb ) = 0.02Cross sect Area ( Ab) = 0.07220184166 m2Velocity of flow discharge (Vb ) = 0.28854296311 m/s
- Area 2 ( Q2, A2 , V2 )( upper guide bearing )
Volume Flow rate (Q2) = 0.01Cross sect Area ( A2) = 0.00476978973 m2 77.93 3" ( 80 mm)Velocity of flow discharge (V2 ) = 2.04 m/sVolume Flow rate ( Qc) = 0.03Cross sect Area ( Ac) = 0.07220184166 m2 303.2 12" ( 300 mm)Velocity of flow discharge (Vc ) = 0.42319634589 m/s
Area 3 Q6, V6, A6( Turbin Guide Bearing )
Volume Flow rate (Q6 = Qg) = 0.003Cross sect Area ( A6) = 0.00055738891 m2 26.64 1" ( 25 mm)Velocity of flow discharge (V6 ) = 4.49 m/sCross sect Area ( Ag) = 0.07220184166 m2 303.2 12" ( 300 mm)Velocity of flow discharge (Vg ) = 0.03462515557 m/s
- Area 4 Q5, V5, A5(Shaft seal)
Volume Flow rate (Q5) = 0.0013Cross sect Area ( A5) = 0.0013 m2 40.89 1 1/2"( 40 mm)Velocity of flow discharge (V5 ) = 1.0153 m/sVolume Flow rate ( Qf) = 0.0038Cross sect Area ( Af) = 0.0722 m2 303.2 12" ( 300 mm)Velocity of flow discharge (Vf ) = 0.0531 m/s
- Area 5 Q4, V4, A4( Generator Lower Guide Bearing )
Volume Flow rate (Q4) = 0.0111Cross sect Area ( A4) = 0.0031 m2 62.71 2 1/2" ( 65 mm )Velocity of flow discharge (V4 ) = 3.5974 m/sVolume Flow rate ( Qe) = 0.0124Cross sect Area ( Ae) = 0.0722 m2 303.2 12" ( 300 mm)Velocity of flow discharge (Ve ) = 0.1724 m/s
m3/s
m3/s
m3/s
m3/s
m3/s
m3/s
m3/s
m3/s
m3/s
- Area 6 Q3, V3, A3( Air Coller )
Volume Flow rate (Q3) = 0.1153Cross sect Area ( A3) = 0.0323 m2 202.7 8" ( 200 mm)Velocity of flow discharge (V3 ) = 3.5723 m/sVolume Flow rate ( Qe) = 0.1184Cross sect Area ( Ae) = 0.0722 m2 303.2 12" ( 300 mm)Velocity of flow discharge (Ve ) = 1.6394 m/s
9 Friction Loss in Discharge Pipe, ( Trush bearing )
- Length Pipe Cooling supplay to Trush bearing =- Kinematic Velocity (ν) =
- Reynolds number (Re) =
- Regime of Flow =
- Relative rougness =- Friction Factor
From the swamee-jain =
From Colebrook-white iteration
=
=
=
=So, friction factor =
- Friction Loss in Discharge Pipe (Hfd) =
Percabangan Pipa 12" ( 300 mm) 4" ( 100 mm)Firction Losses Brance 12" ( 300 mm)
No calculation Unit1 Length 8 m
2 velocity 8.9181E-073 Re 1597924.31 Turbulen4 (ε/Dapplied) 7.83153498086E-055 0.012671020092746 0.012599533562857 0.012602297807058 0.01260219052329 0.01260219468643
10 (f) 0.0126021946864311 (Hfd) 0.06 m
Firction Losses Brance Pipe 4" ( 100 mm)No calculation Unit1 Length 7 m
2 velocity 8.9181E-073 Re 290749.48 Turbulen4 (ε/Dapplied) 0.000439882697955 0.018016847701476 0.012438288984697 0.012608611831488 0.012601945587799 0.0126022041915
10 (f) 0.012602204191511 (Hfd) 0.28 m
Fric Loses 0.03 bar
10 Head losses valve and fittingPIPE 12" ( 300 mm)
No Fitting type Quantity K factor Head Losses1 GATE VALVE 1 0.24 0.07547348049808072 TROUGHT TEE 1 0.58 0.1823942445370283 - 0 0 04 - 0 0 05 - 0 0 0
Total 0.257867725035109
m3/s
m3/s
(ε/Dapplied)
(f0)
(f1)
(f2)
(f3)
(f4)(f)
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
v=(83.9192T^2+20705.5T+55173)^(-1)Re=(V_applied∗D_applied)/v
f^′=0.25[log((ε∕D_applied )/3.7+5.74/〖 Re〗^0.9 )]" " ^(-2)
1/√f=-2log((ε∕D_applied )/3.7+2.51/(Re√f))
PIPE 4" ( 100 mm)No Fitting type Quantity K factor Head Losses1 GATE VALVE 2 0.48 0.3153260281774442 ELBOW 90 LR 2 0.92 0.6043748873401013 TROUGHT TEE 1 0.58 0.1905094753572064 REDUCER 1 0.1 0.03284646126848385 - 0 0 06 - 0 0 0
Total 1.14305685214323
Head losses valve and fitting ( Trush Bearing ) 0.14 barTotal Head losses ( Trush Bearing ) ( Htot ) 0.17 bar
11 Friction Loss in Discharge Pipe, ( upper Guide Bearing )
- Length Pipe Cooling supplay to Trush bearing =- Kinematic Velocity (ν) =
- Reynolds number (Re) =
- Regime of Flow =
- Relative rougness =
- Friction Factor =From the swamee-jain
From Colebrook-white iteration
=
=
=
=So, friction factor =
- Friction Loss in Discharge Pipe (Hfd) =
Percabangan Pipa 12" ( 300 mm) 3" ( 80 mm)Firction Losses Brance DN 300
No calculation Unit1 Length 7.5 m
2 velocity 8.9181E-073 Re 1597924.31 Turbulen4 (ε/Dapplied) 7.83153498086E-055 0.012671020092746 0.012599533562857 0.012602297807058 0.01260219052329 0.01260219468643
10 (f) 0.0126021946864311 (Hfd) 0.05 m
Firction Losses Brance 3" ( 80 mm)No calculation Unit1 Length 6 m
2 velocity 8.9181E-073 Re 178113.44 Turbulen4 (ε/Dapplied) 0.022077312448915 0.050888219779336 0.050738636594527 0.012072230269648 0.012623367929159 0.01260137381465
10 (f) 0.0126013738146511 (Hfd) 0.21 m
Fric Loses 0.02 bar
(Hminor)
(ε/Dapplied)
(f0)
(f1)
(f2)
(f3)
(f4)(f)
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
v=(83.9192T^2+20705.5T+55173)^(-1)Re=(V_applied∗D_applied)/v
f^′=0.25[log((ε∕D_applied )/3.7+5.74/〖 Re〗^0.9 )]" " ^(-2)
1/√f=-2log((ε∕D_applied )/3.7+2.51/(Re√f))
12 Head losses valve and fitting
PIPE 12" ( 300 mm)No Fitting type Quantity K factor Head Losses1 GATE VALVE 1 0.24 0.07547348049808072 TROUGHT TEE 1 0.58 0.1823942445370283 - 0 0 04 - 0 0 05 - 0 0 0
Total 0.257867725035109
PIPE 3" ( 80 mm)No Fitting type Quantity K factor Head Losses1 GATE VALVE 2 0.48 0.2039187744252952 ELBOW 90 LR 1 0.46 0.09771107941212053 TROUGHT TEE 2 1.16 0.492803704861134 REDUCER 1 0.1 0.02124153900263495 - 0 0 06 - 0 0 0
Total 0.81567509770118
Head losses valve and fitting ( Upper Bearing ) 0.10 barTotal Head losses ( Upper Bearing ) ( Htot ) 0.12 bar
13 Friction Loss in Discharge Pipe, ( Air Coller )
- Length Pipe Cooling supplay to Trush bearing =- Kinematic Velocity (ν) =
- Reynolds number (Re) =
- Regime of Flow =- Relative rougness (ε/Dapplied) =- Friction Factor (f0) =
From the swamee-jain
From Colebrook-white iteration(f1) =(f2) =(f3) =(f4) =
So, friction factor (f) =
- Friction Loss in Discharge Pipe (Hfd) =
(Hminor)
f^′=0.25[log((ε∕D_applied )/3.7+5.74/〖 Re〗^0.9 )]" " ^(-2)
v=(83.9192T^2+20705.5T+55173)^(-1)Re=(V_applied∗D_applied)/v
1/√f=-2log((ε∕D_applied )/3.7+2.51/(Re√f))
Brancing pipe 12" ( 300 mm) 8" ( 200 mm)
Brance 12" ( 300 mm)No calculation Unit1 Length 8 m
2 velocity 8.91814038937E-073 Re 1597924 Turbulen4 (ε/Dapplied) 7.83153498086E-055 0.012671020092746 0.012599533562857 0.012608 0.012609 0.01260
10 (f) 0.0126011 (Hfd) 0.05518 m
Brance 8" ( 200 mm)No calculation Unit1 Length 4 m
2 velocity 8.91814038937E-073 Re 811946.961946225 Turbulen4 (ε/Dapplied) 0.000222002960045 0.015183997131346 0.015097 0.012528 0.012619 0.01260
10 (f) 0.0126011 (Hfd) 0.16225 m
Fric Loses 0.02117 bar
14 Head losses valve and fitting
PIPE 300No Fitting type Quantity K factor Head Losses
1 GATE VALVE 1 0.24 0.07547348052 TROUGHT TEE 1 0.58 0.182394244543 - 0 0 04 - 0 0 05 - 0 0 0
Total 0.25786772504
PIPE 200No Fitting type Quantity K factor Head Losses
1 GATE VALVE 2 0.48 0.626355690262 ELBOW 90 LR 2 0.92 1.2005150733 TROUGHT TEE 1 0.584 REDUCER 1 0.15 - 0 06 - 0 0 0
Total 1.82687076327
Head losses valve and fitting ( Air coller ) (Hminor) 0.20300032633 barTotal Head losses ( Air coller ) ( Htot ) 0.2241725882 bar
15 Friction Loss in Discharge Pipe, ( Lower Guide Bearing )
- Length Pipe Cooling supplay to Trush bearing =- Kinematic Velocity (ν) =
- Reynolds number (Re) =
- Regime of Flow =- Relative rougness (ε/Dapplied) =- Friction Factor (f0) =
From the swamee-jain
From Colebrook-white iteration(f1) =(f2) =(f3) =(f4) =
So, friction factor (f) =
- Friction Loss in Discharge Pipe (Hfd) =
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
f^′=0.25[log((ε∕D_applied )/3.7+5.74/〖 Re〗^0.9 )]" " ^(-2)
v=(83.9192T^2+20705.5T+55173)^(-1)Re=(V_applied∗D_applied)/v
1/√f=-2log((ε∕D_applied )/3.7+2.51/(Re√f))
Brancing pipe 12" ( 300 mm) 2 1/2" ( 65 mm )Firction Losses Brance pipe 12" ( 300 mm)
No calculation Unit1 Length 10 m
2 velocity 8.91814038937E-073 Re 1597924.3 Turbulen4 (ε/Dapplied) 7.83153498086E-055 0.012671020092746 0.012599533562857 0.012608 0.012609 0.01260
10 (f) 0.0126011 (Hfd) 0.06897 m
Firction Losses Brance 2 1/2" ( 65 mm )No calculation Unit1 Length 6 m
2 velocity 8.91814038937E-073 Re 252962.7091031 Turbulen4 (ε/Dapplied) 0.000148416886545 0.016227724574446 0.016207 0.012488 0.012619 0.01260
10 (f) 0.0126011 (Hfd) 0.79780 m
Fric Loses 0.08440 bar
16 Head losses valve and fitting
PIPE 12" ( 300 mm)No Fitting type Quantity K factor Head Losses
1 GATE VALVE 1 0.24 0.07547348052 TROUGHT TEE 1 0.58 0.182394244543 - 0 0 04 - 0 0 05 - 0 0 0
Total 0.25786772504
PIPE 2 1/2" ( 65 mm )No Fitting type Quantity K factor Head Losses
1 BALL VALVE FULL BORE 2 0.2 0.264667957842 ELBOW 90 LR 2 0.92 1.217472606083 TROUGHT TEE 1 0.58 0.383768538874 REDUCER 1 0.1 0.066166989465 - 1 0 06 - 0 0 0
Total ( m ) 1.93207609226
Head losses valve and fitting ( lower Gude Bearing ) (Hminor)Total Head losses ( lower Guide Bearing ) ( Htot ) 0.21324464054 bar
0.29764630132 bar
17 Friction Loss in Discharge Pipe, ( Turbin Guide Bearing )
- Length Pipe Cooling supplay to Trush bearing =- Kinematic Velocity (ν) =
- Reynolds number (Re) =
- Regime of Flow =- Relative rougness (ε/Dapplied) =- Friction Factor (f0) =
From the swamee-jain
From Colebrook-white iteration(f1) =(f2) =(f3) =(f4) =
So, friction factor (f) =
- Friction Loss in Discharge Pipe (Hfd) =
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
f^′=0.25[log((ε∕D_applied )/3.7+5.74/〖 Re〗^0.9 )]" " ^(-2)
v=(83.9192T^2+20705.5T+55173)^(-1)Re=(V_applied∗D_applied)/v
1/√f=-2log((ε∕D_applied )/3.7+2.51/(Re√f))
Brancing pipe Firction Losses Brance pipe 12" ( 300 mm)
No calculation Unit1 Length 13 m
2 velocity 8.91814038937E-073 Re 1597924.31485741 Turbulen4 (ε/Dapplied) 7.83153498086E-055 0.012671020092746 0.012599533562857 0.012602297807058 0.01260219052329 0.01260219468643
10 (f) 0.0126021946864311 (Hfd) 0.09015139402904 m
Firction Losses Brance Pipe 1" ( 25 mm)No calculation Unit1 Length 9 m
2 velocity 8.91814038937E-073 Re 133980.502431211 Turbulen4 (ε/Dapplied) 0.001689189189195 0.024041097897696 0.023836272073437 0.012324337427898 0.012613141416249 0.01260176997755
10 (f) 0.0126017699775511 (Hfd) 0.00835370853213 m Fric Loses 0.009591883144 bar
18 Head losses valve and fitting
PIPE 12" ( 300 mm)No Fitting type Quantity K factor Head Losses
1 GATE VALVE 1 0.24 0.07547348052 TROUGHT TEE 1 0.58 0.182394244543 - 0 0 04 - 0 0 05 - 0 0 0
Total 0.25786772504
PIPE 1" ( 25 mm)No Fitting type Quantity K factor Head Losses
1 BALL VALVE FULL BORE 2 0.2 0.41142 TROUGHT TEE 1 0.58 0.59653 ELBOW 90 LR 2 0.92 1.892494192364 REDUCER 1 0.1 0.102852945246 - 0 0 05 - 0 0 0
Total 3.0033
Head losses valve and fitting\ (Hminor) 0.31755509591 barTotal Head losses ( Htot ) 0.32714697905 bar
19 Friction Loss in Discharge Pipe, ( Turbin Main Shaft Seal )
- Length Pipe Cooling supplay to Trush bearing =- Kinematic Velocity (ν) =
- Reynolds number (Re) =
- Regime of Flow =- Relative rougness (ε/Dapplied) =- Friction Factor (f0) =
From the swamee-jain
From Colebrook-white iteration(f1) =(f2) =(f3) =(f4) =
So, friction factor (f) =
- Friction Loss in Discharge Pipe (Hfd) =
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
f^′=0.25[log((ε∕D_applied )/3.7+5.74/〖 Re〗^0.9 )]" " ^(-2)
v=(83.9192T^2+20705.5T+55173)^(-1)Re=(V_applied∗D_applied)/v
1/√f=-2log((ε∕D_applied )/3.7+2.51/(Re√f))
Brancing pipe 300 to 25Firction Losses Main Pipe DN 300
No calculation Unit1 Length 13 m
2 velocity 8.91814038937E-073 Re 1597924.31485741 Turbulen4 (ε/Dapplied) 7.83153498086E-055 0.012671020092746 0.012599533562857 0.012602297807058 0.01260219052329 0.01260219468643
10 (f) 0.0126021946864311 (Hfd) 0.09015139402904 m
Firction Losses Main Pipe DN40No calculation Unit1 Length 9 m
2 velocity 8.91814038937E-073 Re 46554.046919605 Turbulen4 (ε/Dapplied) 0.0011005135735 0.024701097723446 0.024513702718637 0.012313584199088 0.012613571794839 0.01260175329639
10 (f) 0.0126017532963911 (Hfd) 0.00028656574868 m Fric Loses 0.0088063 bar
20 Head losses valve and fitting
PIPE 12" ( 300 mm)No Fitting type Quantity K factor Head Losses
1 GATE VALVE 2 0.2 0.125789134162 TROUGHT TEE 1 0.58 0.182394244543 - 2 0.92 0.578630017154 - 1 0 05 - 0 0 0
Total 0.88681339585
PIPE 40No Fitting type Quantity K factor Head Losses
1 BALL VALVE FULL BORE 2 0.2 0.021082 ELBOW 90 LR 2 0.92 0.09703 TROUGHT TEE 1 0.58 0.03064 STRAINER 1 0.6 0.03165 - 0 0 0.00006 - 0 0 0
Total ( m ) 0.18026388811
Head losses valve and fitting (Hminor) 0.104 barTotal Head losses ( Htot ) 0.112712445 bar
21 Total Head losses in Turbin :
No Losses Head Losses Pressure losses ( bar )1 Main Header 4 Turbin 4.27749 0.422 Generator thrust Bearing 1.739 0.1693 Generator Upper Guide Bearing 1.331 0.1254 Generator Air Cooler 3.057 0.2985 Lower Guide Bearing 3.057 0.2986 Turbin Guide Bearing 3.360 0.3277 Turbin Main shaft seal 1.158 0.113
Total Losses 1.746
22 Applied Pressure
Where ; P = Pressure Pascal
r = Density
g = Gravity
Turbine - GeneratorTotal Head Loss Velocity El. Head Tank Applied Pressure
(m) (m/s) (m) (Pascal) (bar)
1. Generator Thrust Bearing 6.0168 2.5346 34.92 278287.93424 2.7829
2. Generator Upper Guide Bearing 5.6089 2.0383 35.47 288746.28914 2.8875
3. Generator Air Cooler 7.3342 3.5723 38.41 296288.93062 2.9629
4. Generator Lower Guide Bearing 7.3342 3.5974 39.76 309344.74461 3.0934
5. Turbine Guide Bearing 7.6372 4.4852 43.05 334858.60491 3.3486
6. Turbine Main Shaft Seal 5.4350 1.0153 44.44 379339.11449 3.7934
m2/s
(f0)(f1)(f2)(f3)(f4)
m2/s
(f0)(f1)(f2)(f3)(f4)
kg/m3
m/s2P=(H−
v22 .g
). ρ .g
CALCULATION COOLING WATER SYSTEM FROM HEAD TANK&
PUMP SELECTION
1 MASUKKAN DATA KEBUTUHAN TURBIN ( 1 UNIT ):
INPUT DATA :A 75 Thrust Bearing CoolerB 35 Upper Guide Bearing CoolerC 415 Air CoolerD 40 Lower Guide Bearing CoolerE 9 Turbine Guide Bearing CoolerF 4.8 Shaft Seal Lubricating Cooler
-> 579 TOTAL KEBUTUHAN 1 UNIT-> 4 TOTAL UNIT YANG DI PASOK-> 2315.2 TOTAL KEBUTUHAN UNTUK 4 UNIT
TEKANAN OPERASI COLLING WATER UNTUK TURBIN-> MINIMUM ( BAR ) -> MAKSIMUM ( BAR )
2 FLUIDA YANG DI GUNAKANA FlUIDA : TEMPERATURE °C DENSITY 997.1 Kg/m³
Ref : Fluid Mechanic, 4th Edition
3 PIPE PROPERTIESPILIH MATERIAL PIPA 0.045 mm ( Roughness ε )
Ref : Fluid Mechanic, 4th Edition
4 GAYA GRAVITASIWILAYAH PROYEK GRAVITASI WILAYAH 9.779499854
5 KEMAMPUAN TANK UNTUK MEMASOK AIR SAAT DARURAT
LAMA YANG DIINGINKAN Kapasitas tank 1355
6 DIMENSI PIPA YANG DI PAKAI
DIAMETER PIPE
PIPE SCH
DIAMETER PIPA YANG DI BUTUHKAN 584.1070458134 mm 0.58 mINSIDE DIAMETER PIPA YANG DI PILIH 574.60 mm 0.575 m
( **syarat flow pada pipa yang dipilih harus 2-3 m/s) flow 2.48 m/s
7 FITTING AND VALVEJUMLAH K VALUE
A 0.48
B 0.58 TOTAL K VALUE
C 2.3 5.34
D 1.38
E 0.6
F 02.45
G 0
m³/hm³/hm³/hm³/hm³/hm³/h
m³/h
m³/h
m/s²
m³ ( MINIMUM )
8 POMPA452.120 m. above msl Elevasi pompa yang akan di pasang465.120 m. above msl Elevasi oultet pompa458.000 m. above msl Masukkan water level di tailrace449.450 m. above msl Masukkan water level di suction pompa
33.213 m PANJANG PIPA DISCARGE
DIAMETER PIPA ID pipa 303.2 mm
K VALUEA 0.48
B 0.92
C 1.48
D 2.3
E 0.1
LOSSES PADA VALVE DAN FITTING (SISI KELUAR POMPA )K VALUE
A 0.48
B 2.3
C 3.48
D 1.16
E 0.1
F 0
9 COOLING DISTRIBUTION
Pipa Main header 1,2,3,4
ID pipa 1 477.8 mmID pipa 2 574.6 mmID pipa 3 574.6 mmID pipa 4 477.8 mm
Pipa Brance 5
ID Pipa 5 /Brance 303.2 mm
LOSSES PADA VALVE DAN FITTING (SISI MASUK POMPA )
1
23
4
5
Perencanaan panjang pipa Header5
10 m Panjang Perencanaan Pipa Header 1 24" ( 600 mm ) 510 m Panjang Perencanaan Pipa Header 2 20" ( 500 mm ) 512 m Panjang Pipa Brance 5
Fitting dan Valve di Pipa Header 24" ( 600 mm ) 20" ( 500 mm )K VALUE
A 0.1
B 2.32
C 0.2
D 0
E 0
F 0
G 0
Fitting pada pipa brance 12" ( 300 mm)
A 0.96
B 2.3
C 0
D 0
E 0
F 0
A. Distribusi ke bearing 1102.3 mm
277.93 mm
3202.7 mm
4
62.71 mm
526.64 mm
640.89 mm
Area 1 ( Trush Bearing )
Area 2 ( Upper Bearing )
Area 3 ( Air Cooler )
Area 4 ( Lower Guide Bearing )
Area 5 ( Turbin Guide Bearing )
Area 6 ( Shaft Seal )
B. Fitting dan Valve di Trush Bearing Pada Brance 20" ( 500 mm ) K VALUE
A 0.24
B 0.58
C 00.82
D 0
E 0
Pada Brance 4" ( 100 mm) K VALUE
A 0.48
B 0.922.08
C 0.58
D 0.1
E 0
F 0
B. Fitting dan Valve di Trush Bearing
Pada Brance 3" ( 80 mm) K VALUE
A 0.48
B 0.46 2.2
C 1.16
D 0.1
E 0
F 0
B. Fitting dan Valve di Air Coller
Pada Brance 8" ( 200 mm) K VALUE
A 0.48
B 0.922.08
C 0.58
D 0.1
E 0
F 0
B. Fitting dan Valve di Lower Bearing
Pada Brance 2 1/2" ( 65 mm ) K VALUE
A 0.2
B 0.921.8
C 0.58
D 0.1
E 0
F 0
B. Fitting dan Valve di Turbin Guide Bearing
Pada Brance 1" ( 25 mm) K VALUE
A 0.2
B 0.581.8
C 0.92
D 0.1
E 0
F 0
B. Fitting dan Valve di Shaft Seal shaft seal
Pada Brance 1 1/2"( 40 mm) K VALUE
A 0.2
B 0.922.3
C 0.58
DESIGN & CALCULATION Drawing No LH21-XXX-XX
COOLING WATER SUPPLY SYSTEM Job No. X1
Date: 22-Nov-13
PROJECT Prepared: ANS Sign :
ENGINEERING DEPARTEMENT POSO 1 ( 4X 35 MW) Checked : AQQ Sign :
1 Cooling water RequiredNo System Water consumption
1 Generator Trush Bearing 0.0208
2 Generator Upper Guide Bearing 0.0097
3 Generator Air Cooler 0.1153
4 Generator Lower Guida Bearing 0.0111
5 Turbin Guide Bearing 0.0025
6 Turbin Main Shaft 0.0013
TOTAL WATER CONSUMPTION 0.16082 Fluid Data
No Fluid Unsur Kimia Density ( Kg/m³ )1 Water H2O 25 995.7
3 Pipe PropertiesNo Material
1 Cast Iron, seamless pipe (A106 Gr.B) 0.045
4 Local GravityNo Project Local Gravity
1 POSO 1 ( 4X 35 MW) 9.779499854
5 Water StorageTankNo Volume Tank Elevation of water level Lasting Time ( Hours )
1 1355 44.4444444444444 0.45
6 Pipe Data
No Pipe Lengh inner Diameter Friction losses( m ) mm m
1 24" ( 600 mm ) 700 574.60 4.82792 20" ( 500 mm ) 10 477.8 0.04613 12" ( 300 mm) 8 303.2 0.05524 4" ( 100 mm) 7 102.3 0.28325 3" ( 80 mm) 6 77.93 0.20617 1" ( 25 mm) 9 26.64 0.00848 1 1/2"( 40 mm) 9 40.89 0.00039 2 1/2" ( 65 mm ) 6 62.71 0.7978
10 8" ( 200 mm) 4 202.7 0.1623Total Losses 6.3873
0.6220 bar7 Fitting and Valve
No Pipe Fitting and Valve Quantity K factor Total Losses ( m )
1 24" ( 600 mm )
Pipe Entrance (Re-Entrant) 1 0.8
1.93
GATE VALVE 2 0.48TROUGHT TEE 1 0.58SWING CEK VALVE 1 2.3ELBOW 90 LR 3 1.38STRAINER 1 0.6- 0 0- 0 0
2 12" ( 300 mm)
GATE VALVE 4 0.96
3.89
ELBOW 90 LR 5 2.3- 0 0- 0 0- 0 0- 0 0
3 4" ( 100 mm)
GATE VALVE 2 0.48
1.14
ELBOW 90 LR 2 0.92TROUGHT TEE 1 0.58REDUCER 1 0.1- 0 0- 0 0
4 3" ( 80 mm)
GATE VALVE 2 0.48
0.81567509770118
ELBOW 90 LR 1 0.46TROUGHT TEE 2 1.16REDUCER 1 0.1- 0 0- 0 0
5 1" ( 25 mm)
BALL VALVE FULL BORE 2 0.2
3.00330600092195
TROUGHT TEE 1 0.58ELBOW 90 LR 2 0.92REDUCER 1 0.1- 0 0- 0 0
6 1 1/2"( 40 mm)
BALL VALVE FULL BORE 2 0.2
0.18026388810679
ELBOW 90 LR 2 0.92TROUGHT TEE 1 0.58STRAINER 1 0.6- 0 0- 0 0
7 2 1/2" ( 65 mm )
BALL VALVE FULL BORE 2 0.2
1.93207609226152
ELBOW 90 LR 2 0.92TROUGHT TEE 1 0.58REDUCER 1 0.1- 1 0- 0 0
8 8" ( 200 mm)
GATE VALVE 2 0.48
1.82687076326676
ELBOW 90 LR 2 0.92TROUGHT TEE 1 0.58REDUCER 1 0.1- 0 0- 0 0
Total 14.721.4334573641 BAR
m/s2
m/s2
m/s2
m/s2
m/s2
m/s2
m/s2
Temperatur ( ⁰C)
Roughness (ε) mm
DESIGN & CALCULATION Drawing No LH21-XXX-XX
COOLING WATER SUPPLY SYSTEM Job No. X1
Date: 22-Nov-13
PROJECT Prepared: ANS Sign :
ENGINEERING DEPARTEMENT POSO 1 ( 4X 35 MW) Checked : AQQ Sign :
8 Pump SelectionElevation of pump installation
- Elevation of pump installation = EL. 452.120 m. above msl- Outlet of pump = EL. 465.120 m. above msl- Maximum water level (based on tailrace water level) = EL. 458.000 m. above msl- Minimum water level = EL. 449.450 m. above msl- Static Head 15.67 msl
Pipe Data
No Pipe Lengh inner Diameter Friction losses( m ) mm m
1 12" ( 300 mm) 33.213 303.20 0.1300
Total Losses 0.1300Fitting and Valve in Pump system
No Pipe Fitting and Valve Quantity K factor Total Losses ( m )
1 Section Pump
GATE VALVE 2 0.48
1.34ELBOW 90 LR 2 0.92BRANCEH TEE 2 1.48SWING CEK VALVE 1 2.3REDUCER 1 0.1
2 Discarge Pumpa
GATE VALVE 2 0.48
1.91
SWING CEK VALVE 1 2.3ELBOW 90 SR 4 3.48TROUGHT TEE 2 1.16REDUCER 1 0.1- 0 0
Total Losses 3.25
Power of Pump
No Total Head ( m ) Power Of Pump ( KW )Efisiensi
Minimum Power of pump ( KW )( % )
1 18.92 29.65 76 39
9 Applied Pressure
Turbine - GeneratorTotal Head Loss Velocity El. Head Tank Applied Pressure
(m) (m/s) (m) (Pascal) (bar)
1. Generator Thrust Bearing 6.0168 2.5346 34.92 278287.934 2.7829
2. Generator Upper Guide Bearing 5.6089 2.0383 35.47 288746.289 2.8875
3. Generator Air Cooler 7.3342 3.5723 38.41 296288.931 2.9629
4. Generator Lower Guide Bearing 7.3342 3.5974 39.76 309344.745 3.0934
5. Turbine Guide Bearing 7.6372 4.4852 43.05 334858.605 3.3486
6. Turbine Main Shaft Seal 5.4350 1.0153 44.44 379339.114 3.7934